Question

Please help I can't understand and my teacher is not explaining properly.

Answer 1

Answer:

B=100

Step-by-step explanation:

The given circle is

Consider the triangle AOB, Using the triangle sum property, we get

AOB+AOB+BOA=180

Substitute ABO=55 and BAO=45 we get

AOB+55+45=180

AOB+100=180

AOB+100-100=180-100

AOB=80

Here AOB and AOC are supplementary angles

The sum of the supplementary angles is 180 degrees.

AOB+AOC=180

Substitute AOB=80 we get

80+AOC=180

80+ AOC-80=180-80

AOC=100

Now consider the Central angle AOC  and intercepted arc AC.

mAOC=mAC

Substitute m AOC=100 and mAC=b we get

100=b

Hence the value of b is 100 degrees.